What do you think the answer is, please hurry.
1 answer:
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Let us fill the blank squares in the 10-frame by the yellow circles below to make 10s.
1. Fill the 3 blank squares with 3 yellow circles below to make a 10 and form a new fact 10 + 2. Now, we can easily add 10 and 2 to get 12.
2. Fill the 1 blank square with 1 yellow circle below to make a 10 and form a new fact 10 + 4. Now, we can easily add 10 and 4 to get 14.
Please refer attached figures for better understanding.
Answer:
y = -1/8(x -1)² +4
Step-by-step explanation:
The equation of a parabola can be written from focus and directrix using the form ...
y = 1/(4p)(x -h)² +k
where p is the distance from vertex to focus, and (h, k) is the vertex.
The vertex-focus distance is half the distance from the directrix to the focus. Here, that is ...
p = (2 -6)/2 = -4/2 = -2
The vertex is halfway between the focus and directrix on the same vertical line, so has coordinates ...
(h, k) = ((1, 2) +(1, 6))/2 = (1, 4)
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Using these values of p and (h, k), we find the equation of the parabola to be ...
y = 1/(4(-2))(x -1)² +4
y = -1/8(x -1)² +4
_____
<em>Additional comment</em>
You can check the graph by considering the definition of a parabola: each point on the curve is equidistant from the focus and the directrix. This is easily verified for points on the horizontal and vertical lines through the focus. For example, point (5, 2) is 4 units from the focus, and 4 units from the directrix.
